Question

Find the x-and y-intercepts.6x – 3y =-12The x-intercept isThe y-intercept is

Answer 1

The x-intercept is -2

The y-intercept is 4

Step-by-step explanation:

The x-intercept is the value of x when y is equal to zero. So, we need to replace y by 0 and solve for x as follows:

`\begin{gathered} 6x-3y=-12 \\ 6x-3\cdot0=-12 \\ 6x=-12 \\ (6x)/(6)=(-12)/(6) \\ x=-2 \end{gathered}`

Therefore, the x-intercept is -2

In the same way, the y-intercept is the value of y when x is equal to 0. So, replacing x by 0 and solving for y, we get:

`\begin{gathered} 6x-3y=-12 \\ 6\cdot0-3y=-12 \\ -3y=-12 \\ (-3y)/(-3)=(-12)/(-3) \\ y=4 \end{gathered}`

Therefore, the y-intercept is 4